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Finding the Third Proportional to 2,042.02 and 2,605.92

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Solution

The third proportional to 2,042.02 and 2,605.92 is: 3,325.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,042.02 : 2,605.92 = 2,605.92 : x
  2. Step 2: Convert to fraction form
    2,042.02/2,605.92 = 2,605.92/x
  3. Step 3: Cross multiply
    2,042.02x = 2,605.92 × 2,605.92
  4. Step 4: Simplify right side
    2,042.02x = 6,790,828.82
  5. Step 5: Solve for x
    x = 6,790,828.82/2,042.02
  6. Step 6: Final answer
    x = 3,325.55

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.